Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2613 and 2618 the smallest integer that is 6840834 that is divisible by both numbers.
Least Common Multiple (LCM) of 2613 and 2618 is 6840834.
LCM(2613,2618) = 6840834
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2613 and 2618. First we will calculate the prime factors of 2613 and 2618.
Prime Factorization of 2613
3 | 2613 |
13 | 871 |
67 | 67 |
1 |
Prime factors of 2613 are 3, 13,67. Prime factorization of 2613 in exponential form is:
2613 = 31×131×671
Prime Factorization of 2618
2 | 2618 |
7 | 1309 |
11 | 187 |
17 | 17 |
1 |
Prime factors of 2618 are 2, 7, 11,17. Prime factorization of 2618 in exponential form is:
2618 = 21×71×111×171
Now multiplying the highest exponent prime factors to calculate the LCM of 2613 and 2618.
LCM(2613,2618) = 21×31×71×111×131×171×671
LCM(2613,2618) = 6840834
Factors of 2613
List of positive integer factors of 2613 that divides 2613 without a remainder.
1, 3, 13, 39, 67, 201, 871, 2613
Factors of 2618
List of positive integer factors of 2618 that divides 2618 without a remainder.
1, 2, 7, 11, 14, 17, 22, 34, 77, 119, 154, 187, 238, 374, 1309, 2618
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2613 and 2618, than apply into the LCM equation.
GCF(2613,2618) = 1
LCM(2613,2618) = ( 2613 × 2618) / 1
LCM(2613,2618) = 6840834 / 1
LCM(2613,2618) = 6840834
(i) The LCM of 2618 and 2613 is associative
LCM of 2613 and 2618 = LCM of 2618 and 2613
1. What is the LCM of 2613 and 2618?
Answer: LCM of 2613 and 2618 is 6840834.
2. What are the Factors of 2613?
Answer: Factors of 2613 are 1, 3, 13, 39, 67, 201, 871, 2613. There are 8 integers that are factors of 2613. The greatest factor of 2613 is 2613.
3. What are the Factors of 2618?
Answer: Factors of 2618 are 1, 2, 7, 11, 14, 17, 22, 34, 77, 119, 154, 187, 238, 374, 1309, 2618. There are 16 integers that are factors of 2618. The greatest factor of 2618 is 2618.
4. How to Find the LCM of 2613 and 2618?
Answer:
Least Common Multiple of 2613 and 2618 = 6840834
Step 1: Find the prime factorization of 2613
2613 = 3 x 13 x 67
Step 2: Find the prime factorization of 2618
2618 = 2 x 7 x 11 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6840834 = 2 x 3 x 7 x 11 x 13 x 17 x 67
Step 4: Therefore, the least common multiple of 2613 and 2618 is 6840834.